Edward Masen, Sr. was Edward Cullen's biological father. He was married to Elizabeth Masen. He and his family lived in Chicago, Illinois in the early 1900s until he and his wife died of Spanish influenza.
Edward was born in the late 19th century and grew to become a very successful lawyer living in Chicago. He married a woman named Elizabeth and fathered a son, Edward, Jr. His job made the family moderately wealthy, and his son was given proper education. However, Edward was also physically and emotionally distant from his son.
Edward died of the first wave of the Spanish influenza in 1918. His wife later died in the second wave and his son was changed into a vampire by Carlisle Cullen. Though not biologically related, Edward and Carlisle shared a father-son relationship in a way he never related to his birth father. In the series, he is only mentioned by Carlisle in New Moon.
Edward, Sr has no physical role in the books or the films.